Use the Shell Method to Find the Volume of the Solid

question 127

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated line.
-About the line $y = - 6$


$$\begin{array} { l } x = y + 6 \\x = y ^ { 2 }\end{array}$$

• A) \(192 \pi\)
• B) \(\frac { 387 } { 4 } \pi\)
• C) \(\frac { 63 } { 2 } \pi\)
• D) \(\frac { 387 } { 2 } \pi\)

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Definitions:

Straight-Line Depreciation

A method of allocating the cost of a tangible asset over its useful life in equal annual increments.

Net Present Value

The disparity between the current value of cash inflows and outflows over a specific timeframe.

Investment Project

A project that requires capital expenditures for the purpose of generating future income or profit.

Annual Cost Savings

The reduction in costs achieved during a specific year, often as a result of process improvements or efficiency gains.